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chainify.py

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+dyads = "*+-/%"
+monads = list(map(chr, range(ord("A"), ord("Z") + 1)))
+nilads = "1234567890"
+
+source = input()
+arities = []
+for char in source:
+    if char in dyads:
+        arities.append((2, char))
+
+    elif char in monads:
+        arities.append((1, char))
+
+    else:
+        arities.append((0, char))
+
+exprs = []
+while len(arities):
+    # Try grouping triplets
+
+    if len(arities) - 3 >= 0:
+        exprs.append(arities[-3:])
+        del arities[-3:]
+
+    # Now, try grouping pair
+    elif len(arities) - 2 >= 0:
+        exprs.append(arities[-2:])
+        del arities[-2:]
+    else:
+        exprs.append(arities[-1])
+        del arities[-1]
+
+print(exprs)
+